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Finding the Fourth Proportional to 725.91, 1,001.81 and 411.21

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Solution

The fourth proportional to 725.91, 1,001.81 and 411.21 is: 567.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.91 : 1,001.81 = 411.21 : x
  2. Step 2: Convert to fraction form
    725.91/1,001.81 = 411.21/x
  3. Step 3: Cross multiply
    725.91x = 1,001.81 × 411.21
  4. Step 4: Simplify right side
    725.91x = 411,947.23
  5. Step 5: Solve for x
    x = 411,947.23/725.91
  6. Step 6: Final answer
    x = 567.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.